Topological interface physics of defects and textures in spinor Bose-Einstein condensates

Abstract

We provide a detailed description of our previously proposed scheme for topological interface engineering with constructed defects and textures perforating across coherent interfaces between different broken symmetries [M. O. Borgh and J. Ruostekoski, Phys. Rev. Lett. 109, 015302 (2012)]. We consider a spin-1 Bose-Einstein condensate, in which polar and ferromagnetic phases are prepared in spatially separated regions. We show that a stable coherent interface is established between the two phases, allowing defects of different topology to connect continuously across the boundary. We provide analytic constructions of interface-crossing defect solutions that could be experimentally phase-imprinted using existing technology. By numerically minimizing the energy, we calculate the core structures of interface-crossing defect configurations. We demonstrate nontrivial core deformations to considerably more complex structures, such as the formation of an arch-shaped half-quantum line defect, an Alice arch, at the interface, with the topological charge of a point defect, whose emergence may be understood by the "hairy ball" theorem. Another example of an energetically stable object is the connection of a coreless vortex to a pair of half-quantum vortices. We show that rotation leads to spontaneous nucleation of defects in which a coreless vortex continuously transforms to a half-quantum vortex across the interface.

Follow-up article to M.O. Borgh and J. Ruostekoski, Phys. Rev. Lett. 109, 015302 (2012); 16 pages, 11 figures

References in corpus (17)

• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Quantized Rotation of Atoms From Photons with Orbital Angular Momentum
• Spontaneous vortices in the formation of Bose-Einstein condensates
• Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
• Dynamical Creation of Fractionalized Vortices and Vortex Lattices
• Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates
• Classifying Novel Phases of Spinor Atoms
• Interaction of half-quantized vortices in two-component Bose-Einstein condensates
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Creating vortons and three-dimensional skyrmions from domain wall annihilation with stretched vortices in Bose-Einstein condensates
• Energetically stable singular vortex cores in an atomic spin-1 Bose-Einstein condensate
• Classifying Vortices in S=3 Bose-Einstein Condensates
• Coherent atomic soliton molecules for matter-wave switching
• Analogues of D-branes in Bose-Einstein condensates
• Vortex splitting and phase separating instabilities of coreless vortices in F=1 spinor Bose-Einstein condensates
• Pulsating and persistent vector solitons in a Bose-Einstein condensate in a lattice upon phase separation instability
• Boojums in Rotating Two-Component Bose-Einstein Condensates